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17 August, 07:00

Three blocks a, b, and c and a grooved block d have dimensions a, b, c, and d as follows: a 5 1.500 6 0.001 in b 5 2.000 6 0.003 in c 5 3.000 6 0.004 in d 5 6.520 6 0.010 in d a b b c d a w c (a) determine the mean gap w and its tolerance. (b) determine the mean size of d that will assure that w $ 0.010 in.

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  1. L
    17 August, 10:48
    0
    solution:

    a) The mean value of gap w̅ is given by,

    w̅ = d̅ - a̅ - b̅ - c̅

    w̅=06.520-0.150-2.000-3.000

    w̅=0.020 in

    bilateral tolerances of the gap is given by,

    tw = ∑t

    tw = 0.001+0.003+0.004+0.010 = 0.018 in

    w = 0.020 ± 0.018 in

    b) if wmin = 0.010 in, then

    w̅ = wmin + tw

    w̅ = 0.010 + 0.018=0.028 in

    mean size of d is

    d̅ = a̅ + b̅ + c̅ + w̅

    d̅ = 1.500+2.000+3.000+0.028

    = 6.528 in
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